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152036664 = 233134191163
BaseRepresentation
bin10010000111111…
…10010100111000
3101121002021002120
421003332110320
5302410133124
623030401240
73524201403
oct1103762470
9347067076
10152036664
117890343a
1242b00220
1325662c30
1416298d3a
15d532d79
hex90fe538

152036664 has 64 divisors (see below), whose sum is σ = 410659200. Its totient is φ = 46628736.

The previous prime is 152036659. The next prime is 152036761. The reversal of 152036664 is 466630251.

152036664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130147 + ... + 131309.

It is an arithmetic number, because the mean of its divisors is an integer number (6416550).

Almost surely, 2152036664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152036664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205329600).

152036664 is an abundant number, since it is smaller than the sum of its proper divisors (258622536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152036664 is a wasteful number, since it uses less digits than its factorization.

152036664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 152036664 is about 12330.3148378296. The cubic root of 152036664 is about 533.7232360658.

The spelling of 152036664 in words is "one hundred fifty-two million, thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 419 838 1163 1257 1676 2326 2514 3352 3489 4652 5028 5447 6978 9304 10056 10894 13956 15119 16341 21788 27912 30238 32682 43576 45357 60476 65364 90714 120952 130728 181428 362856 487297 974594 1461891 1949188 2923782 3898376 5847564 6334861 11695128 12669722 19004583 25339444 38009166 50678888 76018332 152036664